398455453440 has 864 divisors, whose sum is σ = 1550230036992. Its totient is φ = 93671424000.

The previous prime is 398455453439. The next prime is 398455453447. The reversal of 398455453440 is 44354554893.

It is a happy number.

398455453440 is a `hidden beast` number, since 3 + 9 + 84 + 554 + 5 + 3 + 4 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398455453447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 602806710 + ... + 602807370.

It is an arithmetic number, because the mean of its divisors is an integer number (1794247728).

Almost surely, 2^398455453440 is an apocalyptic number.

398455453440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398455453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775115018496).

398455453440 is an abundant number, since it is smaller than the sum of its proper divisors (1151774583552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398455453440 is a wasteful number, since it uses less digits than its factorization.

398455453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 398455453440 in words is "three hundred ninety-eight billion, four hundred fifty-five million, four hundred fifty-three thousand, four hundred forty".